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Finding the Third Proportional to 325,332 and 704,968

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Solution

The third proportional to 325,332 and 704,968 is: 1,527,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,332 : 704,968 = 704,968 : x
  2. Step 2: Convert to fraction form
    325,332/704,968 = 704,968/x
  3. Step 3: Cross multiply
    325,332x = 704,968 × 704,968
  4. Step 4: Simplify right side
    325,332x = 496,979,881,024
  5. Step 5: Solve for x
    x = 496,979,881,024/325,332
  6. Step 6: Final answer
    x = 1,527,608.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.